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Finding the Fourth Proportional to 213,343.30, 320,141.20 and 78,502.06

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Solution

The fourth proportional to 213,343.30, 320,141.20 and 78,502.06 is: 117,799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,343.30 : 320,141.20 = 78,502.06 : x
  2. Step 2: Convert to fraction form
    213,343.30/320,141.20 = 78,502.06/x
  3. Step 3: Cross multiply
    213,343.30x = 320,141.20 × 78,502.06
  4. Step 4: Simplify right side
    213,343.30x = 25,131,742,890.52
  5. Step 5: Solve for x
    x = 25,131,742,890.52/213,343.30
  6. Step 6: Final answer
    x = 117,799.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.